Geneva Business School Real Business. Future Leaders. 5. Environmental Glass Pro

Question

Geneva Business School Real Business. Future Leaders. 5. Environmental Glass Products, Inc. wants to build a new centralized facility to receive household, commercial, and industrial glass for recycling. This center will be supplied by trucks coming from four "collection points," where recyclable glass is dropped off by individuals and businesses. The volume and the map coordinates for the four collection centers are shown below Where should the collection center be located? (15 points) Collection point Load (X, Y) Coordinates (4,8) (7,2) 9,000 4,000 2,000 5,000 (7,3)

Explanation / Answer

Location of the collection center is determined by center of gravity method

X coordinate of collection center = Li*Xi / Li

= (9000*4+4000*7+2000*4+5000*7)/(9000+4000+2000+5000)

= 5.35

Y coordinate of collection center = Li*Yi / Li  

= (9000*8+4000*2+2000*1+5000*3)/(9000+4000+2000+5000)

= 4.85

So, collection center should be located at (5.35, 4.85)

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